Quantum spin hall effect on pseudo-graphene zigzag nanoribbons

This research explores how two-dimensional honeycomb materials can be used in advanced electronics, focusing on zigzag honeycomb nanoribbons. These nanoribbons can create zero -energy band gaps, enabling helical spin current edge states. The study investigates the quantum spin Hall state, showcasing the adaptability of the Kane-Mele model in various honeycomb lattices. In addition to the theoretical discussions, this study presents a detailed Hamiltonian, performs band structure computations, and introduces a novel spin -filtering technique for zigzag nanoribbons. This method enhances our understanding of edge -localized quantum states and can revolutionize spintronics. By revealing the quantum states in honeycomb nanoribbons, this study contributes to the advancement of electronics and offers a promising path for highly efficient spinbased technologies.